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Finding the Fourth Proportional to 7.82, 11.71 and 6.45

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Solution

The fourth proportional to 7.82, 11.71 and 6.45 is: 9.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.82 : 11.71 = 6.45 : x
  2. Step 2: Convert to fraction form
    7.82/11.71 = 6.45/x
  3. Step 3: Cross multiply
    7.82x = 11.71 × 6.45
  4. Step 4: Simplify right side
    7.82x = 75.53
  5. Step 5: Solve for x
    x = 75.53/7.82
  6. Step 6: Final answer
    x = 9.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.